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Simplifying -25x + 50 = 75x + -1150 Reorder the terms: 50 + -25x = 75x + -1150 Reorder the terms: 50 + -25x = -1150 + 75x Solving 50 + -25x = -1150 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 50 + -25x + -75x = -1150 + 75x + -75x Combine like terms: -25x + -75x = -100x 50 + -100x = -1150 + 75x + -75x Combine like terms: 75x + -75x = 0 50 + -100x = -1150 + 0 50 + -100x = -1150 Add '-50' to each side of the equation. 50 + -50 + -100x = -1150 + -50 Combine like terms: 50 + -50 = 0 0 + -100x = -1150 + -50 -100x = -1150 + -50 Combine like terms: -1150 + -50 = -1200 -100x = -1200 Divide each side by '-100'. x = 12 Simplifying x = 12
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